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Finding the Fourth Proportional to 996.95, 1,375.92 and 598.43

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Solution

The fourth proportional to 996.95, 1,375.92 and 598.43 is: 825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.95 : 1,375.92 = 598.43 : x
  2. Step 2: Convert to fraction form
    996.95/1,375.92 = 598.43/x
  3. Step 3: Cross multiply
    996.95x = 1,375.92 × 598.43
  4. Step 4: Simplify right side
    996.95x = 823,395.25
  5. Step 5: Solve for x
    x = 823,395.25/996.95
  6. Step 6: Final answer
    x = 825.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.